This paper focuses on determining the influence of soil, oil, and environmental factors on the process of oil filtration in a porous medium such as soil. Mathematical modeling of the oil geofiltration process based on classical and modified regularities makes it possible to solve a significant environmental problem associated with predicting the pollution zone due to accidental oil spills. The research methodology is based on the substantiation of theoretical models of oil filtration through porous media, methods for the numerical solution of equations, and computer visualization (ANSYS CFX software). Experimental data supported the verification of the adequacy of the models. Based on obtained results, it was found that all oil flowed into well-permeable sand at a speed of approximately 4-10 -4 m/h. The developed model of the stochastic process of petroleum hydrocarbons geofiltration involved obtaining the output as dependent variables, contamination level, contamination depth, and oil spot borders. Numerical solution and visualization using computer simulation showed the distribution of oil hydrocarbons in the soil in vertical and horizontal directions. The mathematical model allowed to predict the formation of the pollution front and assess the contaminated zone's size.